Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128x |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
10457584828416 = 216 · 39 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6939,-159030] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:1925:8] |
Generators of the group modulo torsion |
j |
458314011/129712 |
j-invariant |
L |
9.6450952520583 |
L(r)(E,1)/r! |
Ω |
0.53432488529442 |
Real period |
R |
4.5127484700345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13266k1 106128t1 |
Quadratic twists by: -4 -3 |